1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
9966 [12]
2 years ago
6

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

than the sum if the other two
Mathematics
1 answer:
Sergio039 [100]2 years ago
4 0

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

You might be interested in
The diagram shows a square ABCD
Alex17521 [72]
Maybe şt can be happen but ım not sure 26
4 0
3 years ago
Sofia lives in a $105,000 brick house in the suburbs with contents valued at
Zinaida [17]

Answer:$58.88

Step-by-step explanation:

6 0
3 years ago
Michael found a jake at the bank he said that he went there every 45 days and Michael says he went every 30 days .when will they
Ahat [919]
They will see each other every 30 days but won't every 15 days
5 0
3 years ago
Read 2 more answers
What isthe answer of: 2/3 - 1/2
Kaylis [27]

Answer:

1/6

Step-by-step explanation:

first of all find the LCD of 3 and 2. The LCD would be 6.

2/3(2/2) - 1/2(3/3)

4/6 and 3/6

then you will subtract 4 and 3 and you end up with 1/6

5 0
2 years ago
Three consecutive integers have a sum of 78. find the inte
VMariaS [17]
Let the 3 numbers be x,x+1,x+2
Given sum of those 3 consecutive integers are 78
X+x+1+x+2=78
3x+3=78
3(x+1)=78
X+1=26
X=26-1
X=25

Therefore the numbers are 25,26,27
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is 1/6 equivalent to
    13·2 answers
  • How to simplify the fraction 9 50
    10·1 answer
  • The volume of this rectangular prism is 864 cubic inches. A prism has a length of 12 inches, height of h, and width of 8 inches.
    15·1 answer
  • What are the addition and subtractions rules for integers?
    8·1 answer
  • Is y=−2+5x a linear function?
    10·1 answer
  • The reaction times for a random sample of 9 subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9. 2.3, 2.6, 4.1, and
    10·1 answer
  • Please help !!!!!!!!
    14·2 answers
  • Someone please help me!! will mark brainliest :)
    10·2 answers
  • If the range for a set of data is 24, from 2 to 26, and the mean is 17, what can you conclude about the data?
    13·1 answer
  • An item is regularly priced at $35 It is on sale for 40% off the regular price. How much (in dollars) is discounted from the reg
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!